Review 3 Function Sequences discrete مراجعة تراكيب جزء 3











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=VGly18TAWI8

Review 3 Function Sequences discrete مراجعة تراكيب جزء 3 • ويتناول الدوال و المتوالية الهندسية والمتوالية العددية (الحسابية) • Function One to One, Onto, One to One and Onto, and Not Function.","styleRuns":[{"startIndex":0,"length":189,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":189,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CMIBELsvGAIiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC1ZHbHkxOFRBV0k4GAYyJSIRIgtWR2x5MThUQVdJODAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CMIBELsvGAIiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CMEBELovIhMI-ozSt5vMiwMVU0N6BR195Btj"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"jRKmP8P0E7o","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/jRKmP8P0E7o/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDKnZcpCspzmFMcqxArfQZfIU1yXg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/jRKmP8P0E7o/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLCV8vhkmGIHlygosV2dhly_NsuQ9w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Review 2 Sets discrete مراجعة تراكيب جزء 2 by Ahmed Amin 331 views 10 months ago 33 minutes"}},"simpleText":"Review 2 Sets discrete مراجعة تراكيب جزء 2"},"longBylineText":{"runs":[{"text":"Ahmed Amin","navigationEndpoint":{"clickTrackingParams":"CLoBEKQwGAAiEwj6jNK3m8yLAxVTQ3oFHX3kG2MyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@AhmedAminAboseada","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCbcSchZ_plzJVJcGXz3BeTA","canonicalBaseUrl":"/@AhmedAminAboseada"}}}]},"publishedTimeText":{"simpleText":"10 months ago"},"viewCountText":{"simpleText":"331 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"33 minutes, 34 seconds"}},"simpleText":"33:34"},"navigationEndpoint":{"clickTrackingParams":"CLoBEKQwGAAiEwj6jNK3m8yLAxVTQ3oFHX3kG2MyB3JlbGF0ZWRIj7GBpvza3LRUmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=jRKmP8P0E7o","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"jRKmP8P0E7o","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nv47znel.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=8d12a63fc3f413ba ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=3820000 mt=1739846716 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Ahmed Amin","navigationEndpoint":{"clickTrackingParams":"CLoBEKQwGAAiEwj6jNK3m8yLAxVTQ3oFHX3kG2MyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@AhmedAminAboseada","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCbcSchZ_plzJVJcGXz3BeTA","canonicalBaseUrl":"/@AhmedAminAboseada"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/u_DRy2IpjwTjdJaHpK0vr_phozZr2ffvJyRxlwjhKschxPFeKHHJnP4Sx6Y6Sp7muQZtm3lgtQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLoBEKQwGAAiEwj6jNK3m8yLAxVTQ3oFHX3kG2NAuqfQn_zHqYmNAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"331 views"}},"simpleText":"331 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CL8BEP6YBBgFIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CL8BEP6YBBgFIhMI-ozSt5vMiwMVU0N6BR195Btj","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"jRKmP8P0E7o","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CL8BEP6YBBgFIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["jRKmP8P0E7o"],"params":"CAQ%3D"}},"videoIds":["jRKmP8P0E7o"]}},{"clickTrackingParams":"CL8BEP6YBBgFIhMI-ozSt5vMiwMVU0N6BR195Btj","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CMABELlqIhMI-ozSt5vMiwMVU0N6BR195Btj"}},"popupType":"TOAST"}}]}},"trackingParams":"CL8BEP6YBBgFIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CL4BENGqBRgGIhMI-ozSt5vMiwMVU0N6BR195Btj","offlineVideoEndpoint":{"videoId":"jRKmP8P0E7o","onAddCommand":{"clickTrackingParams":"CL4BENGqBRgGIhMI-ozSt5vMiwMVU0N6BR195Btj","getDownloadActionCommand":{"videoId":"jRKmP8P0E7o","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CL4BENGqBRgGIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLoBEKQwGAAiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtqUkttUDhQMEU3bw%3D%3D","commands":[{"clickTrackingParams":"CLoBEKQwGAAiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CL0BEI5iIhMI-ozSt5vMiwMVU0N6BR195Btj","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLoBEKQwGAAiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","hasSeparator":true}}],"trackingParams":"CLoBEKQwGAAiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"33 minutes, 34 seconds"}},"simpleText":"33:34"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLwBEPnnAxgBIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"jRKmP8P0E7o","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLwBEPnnAxgBIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"jRKmP8P0E7o"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLwBEPnnAxgBIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLsBEMfsBBgCIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLsBEMfsBBgCIhMI-ozSt5vMiwMVU0N6BR195Btj","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"jRKmP8P0E7o","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLsBEMfsBBgCIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["jRKmP8P0E7o"],"params":"CAQ%3D"}},"videoIds":["jRKmP8P0E7o"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLsBEMfsBBgCIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Review 2 Sets discrete مراجعة تراكيب جزء 2 - 33 minutes - Go to channel - Ahmed Amin - 331 views - 10 months ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"LjxWcIkKoVM","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/LjxWcIkKoVM/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLDdQXw8FnOT1uvhNkuHDwNvWe2g8A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/LjxWcIkKoVM/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLACBfiRxAnjn-EJbiqFiENoHWcRTw","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Review 1 discrete مراجعة تراكيب جزء 1 Logic Proposition by Ahmed Amin 493 views 10 months ago 28 minutes"}},"simpleText":"Review 1 discrete مراجعة تراكيب جزء 1 Logic Proposition"},"longBylineText":{"runs":[{"text":"Ahmed Amin","navigationEndpoint":{"clickTrackingParams":"CLMBEKQwGAEiEwj6jNK3m8yLAxVTQ3oFHX3kG2MyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@AhmedAminAboseada","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCbcSchZ_plzJVJcGXz3BeTA","canonicalBaseUrl":"/@AhmedAminAboseada"}}}]},"publishedTimeText":{"simpleText":"10 months ago"},"viewCountText":{"simpleText":"493 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"28 minutes, 30 seconds"}},"simpleText":"28:30"},"navigationEndpoint":{"clickTrackingParams":"CLMBEKQwGAEiEwj6jNK3m8yLAxVTQ3oFHX3kG2MyB3JlbGF0ZWRIj7GBpvza3LRUmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=LjxWcIkKoVM","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"LjxWcIkKoVM","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=2e3c5670890aa153 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1237500 mt=1739846716 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Ahmed Amin","navigationEndpoint":{"clickTrackingParams":"CLMBEKQwGAEiEwj6jNK3m8yLAxVTQ3oFHX3kG2MyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@AhmedAminAboseada","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCbcSchZ_plzJVJcGXz3BeTA","canonicalBaseUrl":"/@AhmedAminAboseada"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/u_DRy2IpjwTjdJaHpK0vr_phozZr2ffvJyRxlwjhKschxPFeKHHJnP4Sx6Y6Sp7muQZtm3lgtQ=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLMBEKQwGAEiEwj6jNK3m8yLAxVTQ3oFHX3kG2NA08KqyIjOlZ4u","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"493 views"}},"simpleText":"493 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLgBEP6YBBgFIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLgBEP6YBBgFIhMI-ozSt5vMiwMVU0N6BR195Btj","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"LjxWcIkKoVM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLgBEP6YBBgFIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["LjxWcIkKoVM"],"params":"CAQ%3D"}},"videoIds":["LjxWcIkKoVM"]}},{"clickTrackingParams":"CLgBEP6YBBgFIhMI-ozSt5vMiwMVU0N6BR195Btj","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLkBELlqIhMI-ozSt5vMiwMVU0N6BR195Btj"}},"popupType":"TOAST"}}]}},"trackingParams":"CLgBEP6YBBgFIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLcBENGqBRgGIhMI-ozSt5vMiwMVU0N6BR195Btj","offlineVideoEndpoint":{"videoId":"LjxWcIkKoVM","onAddCommand":{"clickTrackingParams":"CLcBENGqBRgGIhMI-ozSt5vMiwMVU0N6BR195Btj","getDownloadActionCommand":{"videoId":"LjxWcIkKoVM","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLcBENGqBRgGIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLMBEKQwGAEiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtManhXY0lrS29WTQ%3D%3D","commands":[{"clickTrackingParams":"CLMBEKQwGAEiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLYBEI5iIhMI-ozSt5vMiwMVU0N6BR195Btj","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLMBEKQwGAEiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","hasSeparator":true}}],"trackingParams":"CLMBEKQwGAEiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"28 minutes, 30 seconds"}},"simpleText":"28:30"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLUBEPnnAxgBIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"LjxWcIkKoVM","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLUBEPnnAxgBIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"LjxWcIkKoVM"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLUBEPnnAxgBIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLQBEMfsBBgCIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLQBEMfsBBgCIhMI-ozSt5vMiwMVU0N6BR195Btj","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"LjxWcIkKoVM","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLQBEMfsBBgCIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["LjxWcIkKoVM"],"params":"CAQ%3D"}},"videoIds":["LjxWcIkKoVM"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLQBEMfsBBgCIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Review 1 discrete مراجعة تراكيب جزء 1 Logic Proposition - 28 minutes - Go to channel - Ahmed Amin - 493 views - 10 months ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"kR1qXbaL9rY","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/kR1qXbaL9rY/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AGKCIAC0AWKAgwIABABGGUgZShlMA8= rs=AOn4CLATtRm-nbHh2PI3HY3tGoG4A4SXAw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/kR1qXbaL9rY/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgBigiAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLC4oZ6MFsP1NIrHmjiQaGcjk8sSaQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"8.3.1 Integrals of Powers of Sine and Cosine || Trig Integrals by Luvreet Sangha 9 views 5 hours ago 15 minutes"}},"simpleText":"8.3.1 Integrals of Powers of Sine and Cosine || Trig Integrals"},"longBylineText":{"runs":[{"text":"Luvreet Sangha","navigationEndpoint":{"clickTrackingParams":"CKwBEKQwGAIiEwj6jNK3m8yLAxVTQ3oFHX3kG2MyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@teervulgoal6","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCZWzscnjXOO0pFic9xSqgWg","canonicalBaseUrl":"/@teervulgoal6"}}}]},"publishedTimeText":{"simpleText":"5 hours ago"},"viewCountText":{"simpleText":"9 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"15 minutes, 39 seconds"}},"simpleText":"15:39"},"navigationEndpoint":{"clickTrackingParams":"CKwBEKQwGAIiEwj6jNK3m8yLAxVTQ3oFHX3kG2MyB3JlbGF0ZWRIj7GBpvza3LRUmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=kR1qXbaL9rY","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"kR1qXbaL9rY","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=911d6a5db68bf6b6 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1237500 mt=1739846716 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Luvreet Sangha","navigationEndpoint":{"clickTrackingParams":"CKwBEKQwGAIiEwj6jNK3m8yLAxVTQ3oFHX3kG2MyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@teervulgoal6","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCZWzscnjXOO0pFic9xSqgWg","canonicalBaseUrl":"/@teervulgoal6"}}}]},"badges":[{"metadataBadgeRenderer":{"style":"BADGE_STYLE_TYPE_SIMPLE","label":"New","trackingParams":"CKwBEKQwGAIiEwj6jNK3m8yLAxVTQ3oFHX3kG2M="}}],"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_kl3bcLD6fPj5KYDJkEDn6pcObfcNgEVrKyblMRkigmLpXU=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKwBEKQwGAIiEwj6jNK3m8yLAxVTQ3oFHX3kG2NAtu2vtNvL2o6RAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"9 views"}},"simpleText":"9 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLEBEP6YBBgGIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLEBEP6YBBgGIhMI-ozSt5vMiwMVU0N6BR195Btj","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"kR1qXbaL9rY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLEBEP6YBBgGIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["kR1qXbaL9rY"],"params":"CAQ%3D"}},"videoIds":["kR1qXbaL9rY"]}},{"clickTrackingParams":"CLEBEP6YBBgGIhMI-ozSt5vMiwMVU0N6BR195Btj","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLIBELlqIhMI-ozSt5vMiwMVU0N6BR195Btj"}},"popupType":"TOAST"}}]}},"trackingParams":"CLEBEP6YBBgGIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLABENGqBRgHIhMI-ozSt5vMiwMVU0N6BR195Btj","offlineVideoEndpoint":{"videoId":"kR1qXbaL9rY","onAddCommand":{"clickTrackingParams":"CLABENGqBRgHIhMI-ozSt5vMiwMVU0N6BR195Btj","getDownloadActionCommand":{"videoId":"kR1qXbaL9rY","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLABENGqBRgHIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKwBEKQwGAIiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtrUjFxWGJhTDlyWQ%3D%3D","commands":[{"clickTrackingParams":"CKwBEKQwGAIiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CK8BEI5iIhMI-ozSt5vMiwMVU0N6BR195Btj","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKwBEKQwGAIiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","hasSeparator":true}}],"trackingParams":"CKwBEKQwGAIiEwj6jNK3m8yLAxVTQ3oFHX3kG2M=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"15 minutes, 39 seconds"}},"simpleText":"15:39"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CK4BEPnnAxgCIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"kR1qXbaL9rY","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CK4BEPnnAxgCIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"kR1qXbaL9rY"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CK4BEPnnAxgCIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CK0BEMfsBBgDIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK0BEMfsBBgDIhMI-ozSt5vMiwMVU0N6BR195Btj","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"kR1qXbaL9rY","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK0BEMfsBBgDIhMI-ozSt5vMiwMVU0N6BR195Btj","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["kR1qXbaL9rY"],"params":"CAQ%3D"}},"videoIds":["kR1qXbaL9rY"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CK0BEMfsBBgDIhMI-ozSt5vMiwMVU0N6BR195Btj"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"8.3.1 Integrals of Powers of Sine and Cosine || Trig Integrals - 15 minutes - Go to channel - Luvreet Sangha - 9 views - 5 hours ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/QR5yylS73ZQ/hqdefault.jpg?sqp=-oaymwEwCKgBEF5IWvKriqkDIwgBFQAAiEIYAfABAfgB_gmAAtAFigIMCAAQARg7IGUoITAP rs=AOn4CLAgqQsVkCyMQ9Z1zbvRrpiyK7k8sg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/QR5yylS73ZQ/hqdefault.jpg?sqp=-oaymwExCNACELwBSFryq4qpAyMIARUAAIhCGAHwAQH4Af4JgALQBYoCDAgAEAEYOyBlKCEwDw== rs=AOn4CLDcbXFFZV_jaywyje4YmoxxhjoFXg","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"12 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":1451532,"darkTheme":1451532}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":2440980,"darkTheme":2440980}}},"stackColor":{"lightTheme":8231275,"darkTheme":8096880}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"Discrete Math"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Ahmed Amin

#############################









New on site
Content Report
Youtor.org / YTube video Downloader © 2025

created by www.youtor.org